US3084444A - Interpolator - Google Patents

Interpolator Download PDF

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US3084444A
US3084444A US7696A US769660A US3084444A US 3084444 A US3084444 A US 3084444A US 7696 A US7696 A US 7696A US 769660 A US769660 A US 769660A US 3084444 A US3084444 A US 3084444A
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scale
arm
slide bar
rotational movement
interpolator
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US7696A
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Vuynovich Mile
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/20Instruments for performing navigational calculations

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  • This invention relates generally to measuring instru ments, and, more particularly, it pertains to an interpolator device for determining points intermediate of two known locations on a map or drawing.
  • Another point of this invention is to provide a multiscale indexing, perpendicular pencil guide rule.
  • Still another object of the invention is to provide a simple, elfective, captivated rule rider attachment for conventional draftsmans scales.
  • FIG. 1 is a plan view, partly broken away, of an interpolator device incorporating features of this invention
  • FIG. 2 is a side view of the interpolator device shown in FIG. 1;
  • FIG. 3 is a schematic of a portion of a chart illustrating a typical contour interpolation problem
  • FIG. 4 is a schematic depicting the application of the interpolator device to the solution of the problem illustrated in FIG. 3.
  • the interpolating device consists of a conventional triangular engineers scale 12 to which is pivotally mounted a stiff stirrup-shaped wire bail 14.
  • This invention is illustrated in conjunction with an engineers scale 12, other types of scales or rulers of different shapes can be used and the invention, therefore, is not limited to use with an engineers scale 12.
  • the bail 14 is provided with equal length side legs 16 which have short turned-in ends 18.
  • the engineers scale 12 is bored at both ends to receive coaxially mounted bushings 20 into which the ends 18 of the bail extend.
  • the bail 14 is provided with a slide bar 22 which has a bushing 24.
  • This slide bar 22 is preferably made of transparent plastic. This arrangement allows the bar 22 to traverse the length of the bail 14 with its end in close proximity to the rulings of scale 12 but spaced therefrom.
  • the chart or map illustrated in FIG. 3 contains a typical problem of interpolation.
  • Reference letters A and B represent, for example, twenty-foot (20) and thirtyfoot (30') contour lines. Let it be assumed that it is desired to locate a point twenty-six feet (26') in elevation intermediate the two points X and Y on the contour lines A and B, respectively.
  • the interpolation device It ⁇ is rotated on the map M, as shown in FIG. 4, so as to match the scale value of the low elevation point X with the point Y and so that the edge of the slide bar 22 passes through the point of higher elevation. If difficulty is encountered, a different scale should be chosen.
  • the slide bar 22 may be positioned with the other hand to any scale value between the two plotted points X and Y.
  • the intersection of the slide bar 22 with the auxiliary line R is the point having the desired value set on the scale of the engineers scale 12, such as a point of twenty-six feet (26) elevation, which was the point to be located in the problem.
  • this involves moving the slide bar 22 to the dot-dashed position 22 of the slide bar 22, which corresponds to a scale reading of 2.6 of twentysix feet (26), as desired.
  • the interpolation point IP obtained by the interpolator device 10 can now be marked at the intersection of the position 22' of the slide bar 22 and the auxiliary line R.
  • the interpolating device 10 although illustrated in connection with determining certain points between known contour lines, as explained above, can also be utilized more often to determine certain points between known points. After such interpolation is done between more points, the new contours are pulled. In cartography, pulling of the new contours is done more often while interpolating between given contours is seldom required, although the invention was illustrated in con nection with the latter for simplicity and it can be readily used with the former without change of the interpolating device 1%.
  • An interpolator device comprising, a three-faced, sixscale, triangular engineers scale, means including an arm mounted to at least one end of said scale, for rotational movement about the longitudinal axis of said scale, means including a slide bar mounted to said arm and arranged for rotational movement about said arm as well as rotational movement with said arm about the longitudinal axis of said scale and for sliding movement in the longitudinal direction along the length of said arm, said slide bar having at least one edge always positioned angularly to said scale so that markings can be laid out therealong corresponding to the spaced scale markings along said scale.
  • An interpolator device comprising, a three-faced, six-scale, triangular engineers scale, means including an arm mounted to at least one end of said structure and having a portion thereof arranged substantially parallel to said scale for rotational movement about the longitudinal axis of said scale, and means including a slidable member having at least one straight edge, said member being mounted to said arm and arranged for rotational movement about said arm as well as rotational movement with said arm about the longitudinal axis of said scale and for sliding movement in the longitudinal direction along said ann, said slidable member having said one edge always positioned angularly to said scale, so that markings 3 can be laid out corresponding to the spaced scale markings along said scale.
  • A11 inte'rpolator device comprising, a three-faced, six-scale, triangular engineers scale, a bail mounted to opposite ends of said scale and having an intermediate portion arranged parallel to the longitudinal axis of said scale and arranged for rotational movement about said longitudinal axis of said scale, and means including a slide bar mounted to said bail and arranged for rotational movement about said bail as well as rotational movement with said bail about said longitudinal axis of said scale and for sliding movement in either direction along said bail, said slide bar having spaced parallel edges positioned substantially perpendicularly to said scale, with one end of said slide bar being positioned parallel to but spaced from said scale so that markings can be laid out along 4: said edges of said slide bar corresponding to said spaced scale markings along said scale.

Description

April 9, 1963 M. VUYNOVICH INTERPOLATOR 2 Sheets-Sheet 1 Filed Feb. 9, 1960 INVENTOR.
ORNEY April 9, 1963 M. VUYNOVICH 3,084,444
INTERPOLATOR Filed Feb. 9, 1960 2 Sheets-Sheet 2 a e Q E q I i MILE VUY/VOV/GH INVENTOR.
BY 4f Wm A OR/VE Y United States Patent 3,084,444 INTERPOLATUR Mile Vuynovieh, 2906 Southern Ave., Baltimore 14, Md. Filed Feb. 9, 1960, Ser. No. 7,696 3 Claims. (Cl. 33102) This invention relates generally to measuring instru ments, and, more particularly, it pertains to an interpolator device for determining points intermediate of two known locations on a map or drawing.
The application of the principle of similar triangles to the problem of interpolation is well-known to cartographers and draftsmen. However, the manipulation of three items, namely, a scale, a triangle, and a pencil, with only two hands to locate a third point between two other points is awkward and subject to slippage and error.
It is, therefore, an object of this invention to provide a unitary interpolator which can easily be oriented to span two points and locate a point therebetween.
Another point of this invention is to provide a multiscale indexing, perpendicular pencil guide rule.
Still another object of the invention is to provide a simple, elfective, captivated rule rider attachment for conventional draftsmans scales.
Other objects of this invention are to provide an interpolator device which is extremely economical to manufacture, efficient and reliable in operational use, and in which the various parts can be easily replaced for maintenance, and which can be easily disassembled for storage or assembled for operational use.
These and other objects and attendant advantages will become more readily apparent and understood from the accompanying specification and drawings in which:
FIG. 1 is a plan view, partly broken away, of an interpolator device incorporating features of this invention;
FIG. 2 is a side view of the interpolator device shown in FIG. 1;
FIG. 3 is a schematic of a portion of a chart illustrating a typical contour interpolation problem; and
FIG. 4 is a schematic depicting the application of the interpolator device to the solution of the problem illustrated in FIG. 3.
Referring now to the details of the drawings, there is shown generally in FIGS. 1 and 2 an interpolating device 10. The interpolating device consists of a conventional triangular engineers scale 12 to which is pivotally mounted a stiff stirrup-shaped wire bail 14. Although this invention is illustrated in conjunction with an engineers scale 12, other types of scales or rulers of different shapes can be used and the invention, therefore, is not limited to use with an engineers scale 12. The bail 14 is provided with equal length side legs 16 which have short turned-in ends 18.
The engineers scale 12 is bored at both ends to receive coaxially mounted bushings 20 into which the ends 18 of the bail extend. The bail 14 is provided with a slide bar 22 which has a bushing 24. This slide bar 22 is preferably made of transparent plastic. This arrangement allows the bar 22 to traverse the length of the bail 14 with its end in close proximity to the rulings of scale 12 but spaced therefrom.
The chart or map illustrated in FIG. 3 contains a typical problem of interpolation. Reference letters A and B represent, for example, twenty-foot (20) and thirtyfoot (30') contour lines. Let it be assumed that it is desired to locate a point twenty-six feet (26') in elevation intermediate the two points X and Y on the contour lines A and B, respectively.
There is first drawn a light auxiliary line R between the two points X and Y. Then an appropriate scale, such ice as the tenth scale, that is, ten increments per inch, on the engineers scale 12 of the interpolation device 10 is selected so that the lower elevation matches one point on the scale 12. The slide bar 22 is slid along the bail 14, with the end thereof adjacent the tenth scale on the engineers scale 12 so that the edge of the slide bar 22 reads the value of the higher point.
Next the interpolation device It} is rotated on the map M, as shown in FIG. 4, so as to match the scale value of the low elevation point X with the point Y and so that the edge of the slide bar 22 passes through the point of higher elevation. If difficulty is encountered, a different scale should be chosen.
With the engineers scale 12 held firmly with one hand in the position recited, the slide bar 22 may be positioned with the other hand to any scale value between the two plotted points X and Y. The intersection of the slide bar 22 with the auxiliary line R is the point having the desired value set on the scale of the engineers scale 12, such as a point of twenty-six feet (26) elevation, which was the point to be located in the problem.
In the illustrated problem, this involves moving the slide bar 22 to the dot-dashed position 22 of the slide bar 22, which corresponds to a scale reading of 2.6 of twentysix feet (26), as desired. The interpolation point IP obtained by the interpolator device 10 can now be marked at the intersection of the position 22' of the slide bar 22 and the auxiliary line R.
It is to be pointed out that the interpolating device 10 although illustrated in connection with determining certain points between known contour lines, as explained above, can also be utilized more often to determine certain points between known points. After such interpolation is done between more points, the new contours are pulled. In cartography, pulling of the new contours is done more often while interpolating between given contours is seldom required, although the invention was illustrated in con nection with the latter for simplicity and it can be readily used with the former without change of the interpolating device 1%.
Obviously many modifications and variations of the present invention are possible in light of the above teachings. It is, therefore, to be understood that within the scope of the appended claims the invention may be practiced otherwise than as specifically described.
What is claimed is:
1. An interpolator device, comprising, a three-faced, sixscale, triangular engineers scale, means including an arm mounted to at least one end of said scale, for rotational movement about the longitudinal axis of said scale, means including a slide bar mounted to said arm and arranged for rotational movement about said arm as well as rotational movement with said arm about the longitudinal axis of said scale and for sliding movement in the longitudinal direction along the length of said arm, said slide bar having at least one edge always positioned angularly to said scale so that markings can be laid out therealong corresponding to the spaced scale markings along said scale.
2. An interpolator device, comprising, a three-faced, six-scale, triangular engineers scale, means including an arm mounted to at least one end of said structure and having a portion thereof arranged substantially parallel to said scale for rotational movement about the longitudinal axis of said scale, and means including a slidable member having at least one straight edge, said member being mounted to said arm and arranged for rotational movement about said arm as well as rotational movement with said arm about the longitudinal axis of said scale and for sliding movement in the longitudinal direction along said ann, said slidable member having said one edge always positioned angularly to said scale, so that markings 3 can be laid out corresponding to the spaced scale markings along said scale.
3. A11 inte'rpolator device, comprising, a three-faced, six-scale, triangular engineers scale, a bail mounted to opposite ends of said scale and having an intermediate portion arranged parallel to the longitudinal axis of said scale and arranged for rotational movement about said longitudinal axis of said scale, and means including a slide bar mounted to said bail and arranged for rotational movement about said bail as well as rotational movement with said bail about said longitudinal axis of said scale and for sliding movement in either direction along said bail, said slide bar having spaced parallel edges positioned substantially perpendicularly to said scale, with one end of said slide bar being positioned parallel to but spaced from said scale so that markings can be laid out along 4: said edges of said slide bar corresponding to said spaced scale markings along said scale.
References Cited in the file of this patent UNITED STATES PATENTS 1,175,448 Hess Mar. 14, 1916 1,422,641 Walters July 11, 1922 2,048,221 Redding July 21, 1936 2,301,068 Morgan Nov. 3, 1942 2,394,983 Clarkson Feb. 19, 1946 FOREIGN PATENTS 824,316 Germany Dec. 10, 1951 289,408 Switzerland July 1, 1953 1,098,126 France Mar. 2, 1955

Claims (1)

1. AN INTERPOLATOR DEVICE, COMPRISING, A THREE-FACED, SIXSCALE, TRIANGULAR ENGINEER''S SCALE, MEANS INCLUDING AN ARM MOUNTED TO AT LEAST ONE END OF SAID SCALE, FOR ROTATIONAL MOVEMENT ABOUT THE LONGITUDINAL AXIS OF SAID SCALE, MEANS INCLUDING A SLIDE BAR MOUNTED TO SAID ARM AND ARRANGED FOR ROTATIONAL MOVEMENT ABOUT SAID ARM AS WELL AS ROTATIONAL MOVEMENT WITH SAID ARM ABOUT THE LONGITUDINAL AXIS OF SAID SCALE AND FOR SLIDING MOVEMENT IN THE LONGITUDINAL DIRECTION ALONG THE LENGTH OF SAID ARM, SAID SLIDE BAR HAVING AT LEAST ONE EDGE ALWAYS POSITIONED ANGULARLY TO SAID SCALE SO THAT MARKINGS CAN BE LAID OUT THEREALONG CORRESPONDING TO THE SPACED SCALE MARKINGS ALONG SAID SCALE.
US7696A 1960-02-09 1960-02-09 Interpolator Expired - Lifetime US3084444A (en)

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Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US1175448A (en) * 1912-05-29 1916-03-14 W & L E Gurley Scale.
US1422641A (en) * 1921-05-03 1922-07-11 Charles A Walters Drafting instrument
US2048221A (en) * 1936-07-21 View oe beading box
US2301068A (en) * 1942-03-12 1942-11-03 Walter L Morgan Proportional divider
US2394983A (en) * 1944-10-17 1946-02-19 Buford Nicholson T Dual-purpose scale assembly
DE824316C (en) * 1950-04-19 1951-12-10 Ferdinand Hofmann ruler
CH289408A (en) * 1951-01-19 1953-03-15 Wassmer Heinz Measuring device.
FR1098126A (en) * 1954-01-07 1955-07-18 Plotting or cutting device for plates or sheets

Patent Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2048221A (en) * 1936-07-21 View oe beading box
US1175448A (en) * 1912-05-29 1916-03-14 W & L E Gurley Scale.
US1422641A (en) * 1921-05-03 1922-07-11 Charles A Walters Drafting instrument
US2301068A (en) * 1942-03-12 1942-11-03 Walter L Morgan Proportional divider
US2394983A (en) * 1944-10-17 1946-02-19 Buford Nicholson T Dual-purpose scale assembly
DE824316C (en) * 1950-04-19 1951-12-10 Ferdinand Hofmann ruler
CH289408A (en) * 1951-01-19 1953-03-15 Wassmer Heinz Measuring device.
FR1098126A (en) * 1954-01-07 1955-07-18 Plotting or cutting device for plates or sheets

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